Thermodynamics of the earth systems

ENV-413

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Course summary


Part 1:  Introduction

Introduction

  • Thermodynamic systems:  composition and state; system vs the environment; open or closed or isolated; boundaries of a system and the environment,
  • Thermodynamic state and properties of a system: state variables (intensive and extensive). thermodynamic properties

Composition, structure of components of the earth system 

  • Composition:  atmosphere, ocean, solid earth
  • Pressure, Density, Temperature; variations in the atmosphere, ocean, solid earth

Equation of state

  • Ideal gas law
  • Kinetic-molecular model of the ideal gas
  • Equation of state for air:  Dalton’s law of partial pressures; virtual temperature
  • Equation of state for real gases, liquids, and solids
  • Equation of state for seawater


Conclusion of Part 1: Introduction

  • Hydrostatic equation:  application to ocean and hypothetical constant density atmosphere; solid earth
  • Hypsometric equation (atmosphere)

In-class worksheets

Part 2:  Framework

First Law of thermodynamics 

  • Basic concepts & processes
  • Work; expansion work
  • Heat: heat capacity, basics of heat transfer mechanisms


First Law of thermodynamics (continued)

  • First law: internal energy, enthalpy, specific heats, heat capacity.
  • Applications of first law to ideal gases

in class worksheets


Entropy and the 2nd law

  • Entropy: reversible and irreversible processes; Clausius inequality; Boltzmann-Gibbs statistical picture of entropy
  • Heat engines
  • 2nd Law of thermodynamics
in class worksheets


Entropy and the 2nd law (continued)
Carnot Cycle and the maximum efficiency; Storm systems as Carnot Engines that drive atmospheric motion. First and second laws combined:  Legendre transformations: Gibbs and Helmholtz functions; thermodynamic equilibrium Thermodynamic relations:  Maxwell relations; relations involving specific heats


Part 2: Framework (continued)

  • Energy functions; Maxwell Equations
  • Definition of Thermodynamic Equilibrium (single component system, multicomponent system).
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Phase Equilibria (introduction)

  • Gibbs phase rule:  thermodynamic degrees of freedom, phases and components
  • Energy in phase changes and chemical reactions


31 March - 6 April (Midterm week)

This is the midterm exam week. Please study all the material including lecture 6, and study the worksheets and exercise session materials.

I also am posting an example exam with a formula sheet. The formula sheet will be the same for your exam as well.

Please let me know if you have any questions - otherwise good luck!


Physical chemistry of water solutions – solution thermodynamics

  • Activity and chemical potential
  • Ideal solutions – Real solutions
  • Equilibrium constants
  • Some examples from aerosols (deliquescence and water update).


Physical chemistry of water solutions – solution thermodynamics (continued)

  • Some examples from aerosols (deliquescence and water update).
  • Aerosol thermodynamic models
  • The ISORROPIA-II aerosol thermodynamic model




Physical chemistry of water solutions – solution thermodynamics (continued)

  • Colligative properties (freezing point depression, boiling point elevation)
  • Phase diagram (for single and multiple component system)
  • Clausius-Clapeyron equation;